2n+8=2-n

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Solution for 2n+8=2-n equation:


Simplifying
2n + 8 = 2 + -1n

Reorder the terms:
8 + 2n = 2 + -1n

Solving
8 + 2n = 2 + -1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'n' to each side of the equation.
8 + 2n + n = 2 + -1n + n

Combine like terms: 2n + n = 3n
8 + 3n = 2 + -1n + n

Combine like terms: -1n + n = 0
8 + 3n = 2 + 0
8 + 3n = 2

Add '-8' to each side of the equation.
8 + -8 + 3n = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = 2 + -8
3n = 2 + -8

Combine like terms: 2 + -8 = -6
3n = -6

Divide each side by '3'.
n = -2

Simplifying
n = -2

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